A modified wavelet multigrid method for the numerical solution of boundary value problems

Shiralashetti, S. C.; Kantli, M. H.; Deshi, A. B.; Desai, P.B. Mutalik

doi:10.1080/02522667.2016.1190568

Cited by 12 publications

(1 citation statement)

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“…Wang et al [23] have applied the fast wavelet multigrid scheme for the solution of electromagnetic integral equations. Shiralashetti et al [24,25] have announced a new wavelet based full-approximation scheme for the numerical solution of nonlinear elliptic partial differential equations. In this paper, we applied the Daubechies wavelet new transform method for the numerical iterative solution of integral and integro-differential equations.…”

Section: Introductionmentioning

confidence: 99%

Iterative Scheme of Integral and Integro-differential Equations Using Daubechies Wavelets New Transform Method

Mundewadi

Kantli²

2020

Int. J. Appl. Comput. Math

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Daubechies wavelet new transform technique is presented for the iterative scheme of linear and nonlinear integral (particularly in Fredholm, Volterra, mixed Volterra-Fredholm integral and integro-differential) equations. Wavelet new prolongation and new restriction operators are established via Daubechies D2 wavelet new filter coefficients. Some of the appearance of the numerical examples that the proposed scheme compromises an efficient and better accuracy with faster convergence in less computation cost, which is justified through the error analysis and computational time.

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Section: Introductionmentioning

confidence: 99%